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Finding the Third Proportional to 130,116.38 and 201,082.50

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Solution

The third proportional to 130,116.38 and 201,082.50 is: 310,753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,116.38 : 201,082.50 = 201,082.50 : x
  2. Step 2: Convert to fraction form
    130,116.38/201,082.50 = 201,082.50/x
  3. Step 3: Cross multiply
    130,116.38x = 201,082.50 × 201,082.50
  4. Step 4: Simplify right side
    130,116.38x = 40,434,171,806.25
  5. Step 5: Solve for x
    x = 40,434,171,806.25/130,116.38
  6. Step 6: Final answer
    x = 310,753.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.